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230316717120 = 26357193158189
BaseRepresentation
bin1101011001111111110…
…0100011010001000000
3211000111011112111002020
43112133330203101000
512233142034421440
6253450034321440
722432314536250
oct3263774432100
9730434474066
10230316717120
1189749867516
1238778729280
13189461b6149
14b20c611960
155ececb03d0
hex359ff23440

230316717120 has 448 divisors, whose sum is σ = 908099174400. Its totient is φ = 48263454720.

The previous prime is 230316717119. The next prime is 230316717221. The reversal of 230316717120 is 21717613032.

230316717120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3928986 + ... + 3987174.

Almost surely, 2230316717120 is an apocalyptic number.

230316717120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230316717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454049587200).

230316717120 is an abundant number, since it is smaller than the sum of its proper divisors (677782457280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230316717120 is a wasteful number, since it uses less digits than its factorization.

230316717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58266 (or 58256 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 230316717120 in words is "two hundred thirty billion, three hundred sixteen million, seven hundred seventeen thousand, one hundred twenty".